Definitions from Wiktionary (open set)
▸ noun: (topology) Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
▸ noun: (topology, mathematical analysis, restricted to metric spaces) A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
▸ noun: (topology) Most generally, a member of the topology of a given topological space.
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▸ noun: (topology) Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
▸ noun: (topology, mathematical analysis, restricted to metric spaces) A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
▸ noun: (topology) Most generally, a member of the topology of a given topological space.
Similar:
closed set,
open cover,
discrete set,
neighborhood,
standard topology,
closure,
normal space,
underlying set,
boundary,
connected space,
more...
Phrases:
▸ Words similar to open set
▸ Usage examples for open set
▸ Idioms related to open set
▸ Wikipedia articles (New!)
▸ Words that often appear near open set
▸ Rhymes of open set
▸ Invented words related to open set